A New Direct Algorithm for Pole Placement by State-Derivative Feedback for Multi-Input Linear Systems

Abstract

The generalized Wonham controllable canonical form in multi-input systems is presented and applied to pole placement of state derivative feedback. A new direct algorithm is proposed. The multi-input system can be decomposed some single-input systems and for every single-input system the problem is easy to be resolved. The advantage of this algorithm is no need to compute the characteristic polynomial of the system. The theory and approach are introduced, and the general expression containing arbitrary parameter is obtained for the derivative feedback gain matrix of the multi-input system. An illustrative example is presented to show the proposed method.